Final answer:
The nuclear decay equation for gadolinium undergoing beta decay is Gd → Eu + β. During beta decay, a neutron in the nucleus converts into a proton, and an electron (beta particle) is emitted from the nucleus.
Step-by-step explanation:
The nuclear decay equation for gadolinium undergoing beta decay can be represented as:
Gd → Eu + β
In this equation, gadolinium (Gd) is undergoing beta decay, which involves the emission of a beta particle (β). As a result of the decay, gadolinium transforms into europium (Eu).
During beta decay, a neutron in the nucleus converts into a proton, and an electron (beta particle) is emitted from the nucleus. This process leads to the transformation of the original element into a new element.